Finding the Third Proportional to 376,036 and 826,496

Step by Step Solution

1. Step 1: Write the proportion equation
   376,036 : 826,496 = 826,496 : x
2. Step 2: Convert to fraction form
   376,036/826,496 = 826,496/x
3. Step 3: Cross multiply
   376,036x = 826,496 × 826,496
4. Step 4: Simplify right side
   376,036x = 683,095,638,016
5. Step 5: Solve for x
   x = 683,095,638,016/376,036
6. Step 6: Final answer
   x = 1,816,569.79